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Finding the Fourth Proportional to 13,114.40, 18,096.42 and 7,808.18

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Solution

The fourth proportional to 13,114.40, 18,096.42 and 7,808.18 is: 10,774.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.40 : 18,096.42 = 7,808.18 : x
  2. Step 2: Convert to fraction form
    13,114.40/18,096.42 = 7,808.18/x
  3. Step 3: Cross multiply
    13,114.40x = 18,096.42 × 7,808.18
  4. Step 4: Simplify right side
    13,114.40x = 141,300,104.72
  5. Step 5: Solve for x
    x = 141,300,104.72/13,114.40
  6. Step 6: Final answer
    x = 10,774.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.